摘要
Based upon a generalized variational principle, which relaxed the inter element continuity requirements, a novel refined hybrid Mindlin plate element is developed, its non linear element stiffness matrices are decomposed into a series of matrices with respect to the assumed strain modes. The formulation presented in this paper is different from any other non linear mixed/hybrid element formulation all successful experience of linear hybrid formulation is absorbed into the formulation(adding non conforming modes and realizing orthogonalization) Numerical results show that the present approach is more effective than any other non linear hybrid element formulation over the accuracy and computational efficiency. In addition, non conforming modes can also overcome the shear locking effect.
基于放松单元间连续性要求约束的广义变分原理 ,建立了用于几何非线性分析的非协调四边形精化杂交Mindlin板元 ,其非线性单元刚度矩阵可按假定应变模式分解。本文列式与现有非线性杂交混合列式的主要区别在于 ,它吸收了现有线性杂交元列式的所有优点 ,引入了非协调模式和正交化。数值结果表明 ,正交化法可有效地改善单元的计算精度和效率 ,非协调模式可克服 Mindlin板的自锁问题。
